Part A: Explain the meaning of the following equation.
Iim f(x) = 3
x → 9
A.)f...
Mathematics, 28.01.2022 05:40 SallyMarquez1201
Part A: Explain the meaning of the following equation.
Iim f(x) = 3
x → 9
A.)f(x) = 3 for all values of x.
B.)The values of f(x) can be made as close to 9 as we like by taking x sufficiently close to 3.
C.) The values of f(x) can be made as close to 3 as we like by taking x sufficiently close to 9.
D.) If |x1 − 9| < |x2 − 9|, then |f(x1) − 3|≤ |f(x2) − 3|.
E.) If |x1 − 9| < |x2 − 9|, then |f(x1) − 3| < |f(x2) − 3|.
Part B is it possible for this statement to be true and yet
f(9) = 7?
Explain.
A.) Yes, the graph could have a hole at (9, 3) and be defined such that f(9) = 7.
B.) Yes, the graph could have a vertical asymptote at x = 9 and be defined such that f(9) = 7.
C.) No, if f(9) = 7, then
lim
x→9
f(x) = 7.
D.) No, if
lim
x→9
f(x) = 3, then f(9) = 3.
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